Is it possible to trigger jQuery datepicker element on both input click and button?

I have an input text containing a default date and I'm using jQuery's Datepicker plugin to select a date from a popin calendar. This calendar pops in when the user clicks on the small picture next to the input.

This is working great but I'd like to trigger the calendar's popin even when the user clicks on the input text. Long story short, I want the calendar to be displayed on both evenements.

Is it possible ? How ?

Thank you !